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Finding the Third Proportional to 115,986 and 169,883

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Solution

The third proportional to 115,986 and 169,883 is: 248,825.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,986 : 169,883 = 169,883 : x
  2. Step 2: Convert to fraction form
    115,986/169,883 = 169,883/x
  3. Step 3: Cross multiply
    115,986x = 169,883 × 169,883
  4. Step 4: Simplify right side
    115,986x = 28,860,233,689
  5. Step 5: Solve for x
    x = 28,860,233,689/115,986
  6. Step 6: Final answer
    x = 248,825.15

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.